Pith Number

pith:DVIPZG67

pith:2013:DVIPZG67BYNKO5BXUGK7WAZ4EZ

not attested not anchored not stored refs pending

Positive solutions to some nonlinear fractional Schr\"odinger equations via a min-max procedure

Gilles Ev\'equoz, Mouhamed Moustapha Fall

arxiv:1312.7068 v2 · 2013-12-26 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVIPZG67BYNKO5BXUGK7WAZ4EZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:45:31.736206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d50fc9bdf0e1aa77437a195fb033c266c2410a07ed0740ec36c6582c6d8c240

Aliases

arxiv: 1312.7068 · arxiv_version: 1312.7068v2 · doi: 10.48550/arxiv.1312.7068 · pith_short_12: DVIPZG67BYNK · pith_short_16: DVIPZG67BYNKO5BX · pith_short_8: DVIPZG67

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DVIPZG67BYNKO5BXUGK7WAZ4EZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1d50fc9bdf0e1aa77437a195fb033c266c2410a07ed0740ec36c6582c6d8c240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a207bcf1539c5ba1b437f609872cc777f3ce7fa70302455183d022cf21d9ca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-26T08:51:21Z",
    "title_canon_sha256": "418b8b9ba923b3819247b421c6ca9f02737f408133ff01ffdc050f3c61e8b9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7068",
    "kind": "arxiv",
    "version": 2
  }
}